The sales S(t) (in hundreds of dollars) of calculators increases at a monthly rate given by

S′(t)=5+2e^(−3/100 * t^2) , 0 ≤ t ≤ 4.

At the beginning of the ﬁrst month the sales are zero, i.e., S(0) = 0. Use the second degree Taylor polynomial centered at t = 0 for S′ to estimate the sales, S(3), over the ﬁrst three months.

1. S(3) ≈ $2096

2. S(3) ≈ $1896

3. S(3) ≈ $2046

4. S(3) ≈ $1946

5. S(3) ≈ $1996

S′(t)=5+2e^(−3/100 * t^2) , 0 ≤ t ≤ 4.

At the beginning of the ﬁrst month the sales are zero, i.e., S(0) = 0. Use the second degree Taylor polynomial centered at t = 0 for S′ to estimate the sales, S(3), over the ﬁrst three months.

1. S(3) ≈ $2096

2. S(3) ≈ $1896

3. S(3) ≈ $2046

4. S(3) ≈ $1946

5. S(3) ≈ $1996

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